Search a number
-
+
164969784 = 23387449
BaseRepresentation
bin10011101010100…
…11110100111000
3102111102100000000
421311103310320
5314213013114
624211513000
74042135320
oct1165236470
9374370000
10164969784
1185137271
12472b8760
1328240875
1417ca4280
15e739e09
hex9d53d38

164969784 has 144 divisors (see below), whose sum is σ = 531414000. Its totient is φ = 47029248.

The previous prime is 164969767. The next prime is 164969797. The reversal of 164969784 is 487969461.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2612736) is a multiple of the sum of its prime factors (486).

It is a self number, because there is not a number n which added to its sum of digits gives 164969784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367192 + ... + 367640.

It is an arithmetic number, because the mean of its divisors is an integer number (3690375).

Almost surely, 2164969784 is an apocalyptic number.

164969784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164969784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265707000).

164969784 is an abundant number, since it is smaller than the sum of its proper divisors (366444216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164969784 is an frugal number, since it uses more digits than its factorization.

164969784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 164969784 is about 12844.0563686088. The cubic root of 164969784 is about 548.4471726105.

The spelling of 164969784 in words is "one hundred sixty-four million, nine hundred sixty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 449 486 504 567 648 729 756 898 972 1134 1347 1458 1512 1701 1796 1944 2187 2268 2694 2916 3143 3402 3592 4041 4374 4536 5103 5388 5832 6286 6561 6804 8082 8748 9429 10206 10776 12123 12572 13122 13608 15309 16164 17496 18858 20412 24246 25144 26244 28287 30618 32328 36369 37716 40824 45927 48492 52488 56574 61236 72738 75432 84861 91854 96984 109107 113148 122472 145476 169722 183708 218214 226296 254583 290952 327321 339444 367416 436428 509166 654642 678888 763749 872856 981963 1018332 1309284 1527498 1963926 2036664 2291247 2618568 2945889 3054996 3927852 4582494 5891778 6109992 6873741 7855704 9164988 11783556 13747482 18329976 20621223 23567112 27494964 41242446 54989928 82484892 164969784